Standards for Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Established Goals:
2.MD.9 Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units.
2.MD.10 Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take apart, and compare problems using information presented in a bar graph.
Student I Can Statements:
I can measure and record the lengths of several objects to the nearest whole-number.
I can create a line plot with a horizontal scale marked off in whole-number units.
I can record length measurements on a line plot.
I can understand and use special terms such as: half past, quarter after/past, quarter to, minutes after/past, minutes to.
I can make a picture or bar graph with up to four categories to represent data.
I can compare data on a bar graph.
I can solve addition and subtraction problems using data from a picture or gar graph.
Prerequisite standards: 1.MD.4 Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.
Big Ideas:
Data Collection and Representation
Some questions can be answered by collecting and analyzing data, and the question to be answered determines the data that needs to be collected and how best to collect it. Data can be represented visually using tables, charts, and graphs. The type of data determines the best choice of visual representation.
Practices, Processes, and Proficiencies
Mathematics content and practices can be applied to solve problems.
Essential Questions:
How can line plots, bar graphs, and pictographs be used to show data and answer questions?
Students will know...
The lengths of objects can be organized in different ways. A line plot can be used as a visual representation of the relative lengths of objects.
Different types of data can be displayed on a line plot. Line plots are useful for organizing large sets of data.
Bar graphs can be used to organize and display data. The height or length of bars in a bar graph makes it easy to compare data.
Picture graphs use a single symbol to show data. This makes it easy to compare two or more categories.
Picture graphs and bar graphs are useful tools for comparing data and drawing conclusions.
Good math thinkers know how to think about works and numbers to solve problems.
Vocabulary:
data, line plot, bar graph, symbol, picture graph
Students will be skilled at...
Measure the lengths of objects and make a line plot to organize the data.
Draw bar graphs and use them to solve problems.
Draw picture graphs and use them to solve problems.
Draw conclusions from graphs
Reason about data in bar graphs and picture graphs to write and solve problems.
14-6 Math Practices and Problem Solving: Reasoning
Resources:
Date Resources:
Partner Tables
Provide partners with tables and questions.
Have partners find the answers to their questions using the table.
Bring the class together and have students share their charts, questions, and answers. Allow class to discuss whether or not they agree/disagree with the students’ answers.
What’s the Question?
Give groups of students tables.
Have the students write 3 or 4 questions that can be answered by the table.
Have groups exchange charts and questions. Partner groups answer the questions.
Bring class together and have class share questions/answers and decide if they agree with the answers provided.
My Table, My Questions
Have students brainstorm favorite sports, games, animals, etc.
Have students identify things from their favorite topic that could be shared on a table (for example number of touchdowns, weight of animals, number of hours playing games, etc.)
Have students create a table based on their topic and write two questions about their table.
Have students share their tables and questions with a partner. Sharing could also take place over a longer period of time.
Partner Bar Graphs
Provide partners with museum bar graphs and questions (Resource Sheet Bar Graphs).
Have partners find the answers to their questions using the bar graph.
Bring the class together and have students share their charts, questions, and answers. Allow class to discuss whether or not they agree/disagree with the students’ answers.
My Table, My Questions (Bar Graphs)
Have students brainstorm favorite sports, games, animals, etc.
Have students identify things from their favorite topic that could be shared on a graph (for example number of touchdowns, weight of animals, number of hours playing games, etc.)
Have students create a bar graph based on their topic and write two questions about their bar graph.
Have students share their graphs and questions with a partner. Sharing could also take place over a longer period of time.
Topic Fourteen: Graphs and Data
Pacing (Duration of Unit):Desired Results
Standards for Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
2.MD.9 Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units.
2.MD.10 Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take apart, and compare problems using information presented in a bar graph.
Student I Can Statements:
- I can measure and record the lengths of several objects to the nearest whole-number.
- I can create a line plot with a horizontal scale marked off in whole-number units.
- I can record length measurements on a line plot.
- I can understand and use special terms such as: half past, quarter after/past, quarter to, minutes after/past, minutes to.
- I can make a picture or bar graph with up to four categories to represent data.
- I can compare data on a bar graph.
- I can solve addition and subtraction problems using data from a picture or gar graph.
Prerequisite standards:1.MD.4 Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.
Data Collection and Representation
Some questions can be answered by collecting and analyzing data, and the question to be answered determines the data that needs to be collected and how best to collect it. Data can be represented visually using tables, charts, and graphs. The type of data determines the best choice of visual representation.
Practices, Processes, and Proficiencies
Mathematics content and practices can be applied to solve problems.
Vocabulary:
data, line plot, bar graph, symbol, picture graph
Assessment Evidence
Assessing Measuring Lengths (2.MD.9):
Assessing Data (2.MD.10):
Assessing Measuring Length (2.MD.9)
Task 1:
Task 2:
Task 3:
Assessing 2.MD.10:
Task 1:
Task 2:
Learning Plan
14-1 Line Plots
14-2 More Line Plots
14-3 Bar Graphs
14-4 Picture Graphs
14-5 Draw Conclusions from Graphs
14-6 Math Practices and Problem Solving: Reasoning
Date Resources:
Partner Tables
What’s the Question?
My Table, My Questions
Partner Bar Graphs
My Table, My Questions (Bar Graphs)